At what points, if any, is the function discontinuous? Select the correct choice
ID: 1889317 • Letter: A
Question
At what points, if any, is the function discontinuous? Select the correct choice below and fill in any answer boxes within your choice. (Use a comma to separate answers as needed.) The function has no points of discontinuity. At what points, if any, is the function discontinuous? r(theta) = -7 tan theta Choose the correct answer below. Every theta = n pi + pi / 2 where n is any integer. Every theta = n pi where n is any integer. Every theta = 2 pi n where n is any integer. There are no points that make the function discontinuous. From the graph on the right, indicate on which interval f(x) is continuous. (6,8], [6,8], (6,8), or [6,8) Identify the interval on which f(x) is continuous Choose the correct answer below. State whether the indicated function is continuous at I. If it is not continuous, tell why. f(x) = (x - 1)(x - 2) Is f continuous at 1? No Yes If the function is not continuous at 1, tell why. Choose the correct answer below. lim x rightarrow 1 (x - 1)(x - 2) f(1) lim x rightarrow 1 (x - 1)(x - 2) and f(1) do not exist. f(x) is continuous at 1. Find horizontal and vertical asymptotes of f(x). f(x) = 4 / x + 5 Find the limit. lim x rightarrow -4 -9x / x + 4 lim x rightarrow -4 -9x / x+4 = (simplify your answer.) Find lim x rightarrow 3x2 / 8x + 2. lim x rightarrow 3x2 / 8x + 2 =Explanation / Answer
solution
1st pic = B
as after checking continuity at every boundary u will find that it follows the rule for being continous like f(3-)=f(3)= f(3+) ; same for 0 ;
2nd pic = B
as it is like k*tan = so the answer is same as for tan = option B
3rd pic
[6,8) as at 8 is not continous for 8+ region
4th pic
yes its continous at 1
5th pic
vertical asymptote x= -5 ( where the function tends to be infinity case)
horizontal symptote x=+/- (where the function tends to zero in this case )
vertical and horizontal are from graph orientation
6th pic
limit is -9 ; lhospital rule
7th pic
limit is -
note = infinity
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